 Recent questions in Linear algebra maryam.waleed2020 2022-01-20

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The top view of a circular table shown on the right has a radius of 120cm.find the area of the smaller segment of the table (shaded region) determined by 60° arc Michael Maggard 2022-01-07 Answered

Write formulas for the unit normal and binormal vectors of a smooth space curve r(t) Kathleen Rausch 2022-01-07 Answered

Let u and v be distinct vectors of a vector space V. Show that if {u, v} is a basis for V and a and b are nonzero scalars, then both {u+v, au} and {au, bv} are also bases for V. b2sonicxh 2022-01-07 Answered

Let V, W, and Z be vector spaces, and let $$\displaystyle{T}:{V}\rightarrow{W}$$ and $$\displaystyle{U}:{W}\rightarrow{Z}$$ be linear. If U and T are one-to-one and onto, prove that UT is also zakinutuzi 2022-01-07 Answered

Let V and W be vector spaces, and let T and U be nonzero linear transformations from V into W. If R(T) ∩ R(U) = {0}, prove that {T, U} is a linearly independent subset of L(V, W). Tara Alvarado 2022-01-07 Answered

True or False: 4. A vector is a linear combination if u can be written as a sum of scalar multiples of those vectors 5. If $$\displaystyle{u},{v}\in{V}$$, then $$\displaystyle{u}-{v}=-{u}$$. 6. The objects in a vector space are called vectors. Jason Yuhas 2022-01-07 Answered

Label the following statements as being true or false. (a) If V is a vector space and W is a subset of V that is a vector space, then W is a subspace of V. (b) The empty set is a subspace of every vector space. (c) If V is a vector space other than the zero vector space {0}, then V contains a subspace W such that W is not equal to V. (d) The intersection of any two subsets of V is a subspace of V. (e) An $$\displaystyle{n}\times{n}$$ diagonal matrix can never have more than n nonzero entries. (f) The trace of a square matrix is the product of its entries on the diagonal. interdicoxd 2022-01-06 Answered

Is $$\displaystyle{\left\lbrace{\left({1},{4},–{6}\right)},{\left({1},{5},{8}\right)},{\left({2},{1},{1}\right)},{\left({0},{1},{0}\right)}\right\rbrace}$$ a linearly independent subset of $$\displaystyle{R}^{{3}}$$? Marenonigt 2022-01-06 Answered

If V is a finite dimensional vector space and W is a subspace, the W is finite dimensional. Prove it. stop2dance3l 2022-01-06 Answered

Label the following statements as being true or false. (a) There exists a linear operator T with no T-invariant subspace. (b) If T is a linear operator on a finite-dimensional vector space V, and W is a T-invariant subspace of V, then the characteristic polynomial of Tw divides the characteristic polynomial of T. (c) Let T be a linear operator on a finite-dimensional vector space V, and let x and y be elements of V. If W is the T-cyclic subspace generated by x, W' is the T-cyclic subspace generated by y, and W = W', then x y. Frank Guyton 2022-01-06 Answered

Let W be a subset of the vector space V where u and v are vectors in W. If ($$\displaystyle{u}\oplus{v}$$) belongs to W, then W is a subspace of V: Select one: True or False rheisf 2022-01-06 Answered

determine whether W is a subspace of the vector space. $$\displaystyle{W}={\left\lbrace{\left({x},{y}\right)}:{x}-{y}={1}\right\rbrace},{V}={R}^{{2}}$$ Marla Payton 2022-01-05 Answered

What is the connection between vector functions and space curves? Carol Valentine 2022-01-05 Answered

What is Null Space?

Finding detailed linear algebra problems and solutions has always been difficult because the textbooks would never provide anything that would be sufficient. Since it is used not only by engineering students but by anyone who has to work with specific calculations, we have provided you with a plethora of questions and answers in their original form. It will help you to see some logic as you are solving complex numbers and understand the basic concepts of linear Algebra in a clearer way. If you need additional help or would like to connect several solutions, compare more than one solution as you approach your task.
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